geometry

help please somone find the value of x and y

Hello Guest!

\(\alpha=180°-150°\\ \alpha=30° \)

\(sin\ \alpha=sin\ 30° \\sin\ 30°=\frac{5}{y}\\ 0.5=\frac{5}{y}\\ \color{blue}y=10\)

\(x=\sqrt{10^2-5^2}\\ x=\sqrt{75}=\sqrt{3\cdot 5^2}\)

\(x=5\cdot \sqrt{3}\approx 8.660254\)

  !